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Multi-item Vickrey-Dutch auctions

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Author Info

  • Debasis Mishra

    (Indian Statistical Institute, New Delhi)

  • David C. Parkes

    ()
    (School of Engineering and Applied Sciences, Harvard University, Cambridge)

Abstract

Descending price auctions are adopted for goods that must be sold quickly and in private values environments, for instance in flower, fish, and tobacco auctions. In this paper, we introduce ex post efficient descending auctions for two environments: multiple non-identical items and buyers with unit-demand valuations; and multiple identical items and buyers with non-increasing marginal values. Our auctions are designed using the notion of universal competitive equilibrium (UCE) prices and they terminate with UCE prices, from which the Vickrey payments can be determined. For the unit-demand setting, our auction maintains linear and anonymous prices. For the homogeneous items setting, our auction maintains a single price and adopts Ausubel's notion of "clinching" to compute the final payments dynamically. The auctions support truthful bidding in an ex post Nash equilibrium and terminate with an ex post efficient allocation. In simulation, we illustrate the speed and elicitation advantages of these auctions over their ascending price counterparts.

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Bibliographic Info

Paper provided by Indian Statistical Institute, New Delhi, India in its series Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers with number 07-04.

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Length: 36 pages
Date of creation: May 2007
Date of revision:
Handle: RePEc:ind:isipdp:07-04

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References

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  1. Gul, Faruk & Stacchetti, Ennio, 1999. "Walrasian Equilibrium with Gross Substitutes," Journal of Economic Theory, Elsevier, vol. 87(1), pages 95-124, July.
  2. Olivier Compte & Philippe Jehiel, 2007. "Auctions and information acquisition: sealed bid or dynamic formats?," RAND Journal of Economics, RAND Corporation, vol. 38(2), pages 355-372, 06.
  3. Peter Cramton, 1998. "Ascending Auctions," Papers of Peter Cramton 98eer, University of Maryland, Department of Economics - Peter Cramton, revised 28 Jul 1998.
  4. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
  5. Leonard, Herman B, 1983. "Elicitation of Honest Preferences for the Assignment of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 461-79, June.
  6. Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986. "Multi-Item Auctions," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 863-72, August.
  7. Mishra, Debasis & Veeramani, Dharmaraj, 2007. "Vickrey-Dutch procurement auction for multiple items," European Journal of Operational Research, Elsevier, vol. 180(2), pages 617-629, July.
  8. Bikhchandani, Sushil & Ostroy, Joseph M., 2006. "Ascending price Vickrey auctions," Games and Economic Behavior, Elsevier, vol. 55(2), pages 215-241, May.
  9. Lawrence M. Ausubel, 2004. "An Efficient Ascending-Bid Auction for Multiple Objects," American Economic Review, American Economic Association, vol. 94(5), pages 1452-1475, December.
  10. Mishra, Debasis & Garg, Rahul, 2006. "Descending price multi-item auctions," Journal of Mathematical Economics, Elsevier, vol. 42(2), pages 161-179, April.
  11. Gerard J. van den Berg & Jan C. van Ours & Menno P. Pradhan, 2001. "The Declining Price Anomaly in Dutch Dutch Rose Auctions," American Economic Review, American Economic Association, vol. 91(4), pages 1055-1062, September.
  12. Rothkopf, Michael H & Teisberg, Thomas J & Kahn, Edward P, 1990. "Why Are Vickrey Auctions Rare?," Journal of Political Economy, University of Chicago Press, vol. 98(1), pages 94-109, February.
  13. de Vries, Sven & Schummer, James & Vohra, Rakesh V., 2007. "On ascending Vickrey auctions for heterogeneous objects," Journal of Economic Theory, Elsevier, vol. 132(1), pages 95-118, January.
  14. Gul, Faruk & Stacchetti, Ennio, 2000. "The English Auction with Differentiated Commodities," Journal of Economic Theory, Elsevier, vol. 92(1), pages 66-95, May.
  15. Nisan, Noam & Segal, Ilya, 2006. "The communication requirements of efficient allocations and supporting prices," Journal of Economic Theory, Elsevier, vol. 129(1), pages 192-224, July.
  16. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July.
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Cited by:
  1. Andersson, Tommy & Erlanson, Albin, 2013. "Multi-item Vickrey–English–Dutch auctions," Games and Economic Behavior, Elsevier, vol. 81(C), pages 116-129.
  2. ANDERSSON, Tommy & EHLERS, Lars & SVENSSON, Lars-Gunnar, 2010. "Budget-Balance, Fairness and Minimal Manipulability," Cahiers de recherche 18-2010, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  3. Laurent Lamy, 2009. "Ascending auctions: some impossibility results and their resolutions with final price discounts," Working Papers halshs-00575076, HAL.
  4. Tommy Andersson & Christer Andersson, 2012. "Properties of the DGS-Auction Algorithm," Computational Economics, Society for Computational Economics, vol. 39(2), pages 113-133, February.
  5. Lamy, Laurent, 2012. "On minimal ascending auctions with payment discounts," Games and Economic Behavior, Elsevier, vol. 75(2), pages 990-999.
  6. Mishra, Debasis & Talman, Dolf, 2010. "Characterization of the Walrasian equilibria of the assignment model," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 6-20, January.
  7. Erlanson, Albin, 2011. "The Multi-item Bisection Auction," Working Papers 2011:31, Lund University, Department of Economics.
  8. Laurent Lamy, 2009. "Ascending auctions: some impossibility results and their resolutions with final price discounts," PSE Working Papers halshs-00575076, HAL.
  9. Dobzinski, Shahar & Lavi, Ron & Nisan, Noam, 2012. "Multi-unit auctions with budget limits," Games and Economic Behavior, Elsevier, vol. 74(2), pages 486-503.
  10. Hikmet Gunay & Xin Meng, 2012. "Exposure Problem in Multi-unit Auctions," ISER Discussion Paper 0848, Institute of Social and Economic Research, Osaka University.

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